| 与分担值相关的亚纯函数的正规性 |
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| 引用本文： | 阮杰昌. 与分担值相关的亚纯函数的正规性[J]. 山西师范大学学报：自然科学版, 2009, 23(1): 24-26 |
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| 作者姓名： | 阮杰昌 |
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| 作者单位： | 重庆大学数理学院,重庆,400030;宜宾职业技术学院基础部,四川,宜宾,644004 |
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| 摘 要： | 本文中主要运用了Zalcman引理和正规族的相关理论，继续研究了与分担值相关的亚纯函数的正规性问题，得到了与分担值相关的结论：设F是区域D内的亚纯函数族，a，c是非零的有穷复数，b，d是正实数．若对F中任意的函数f，f的零点重级至少是k＋1并且有f^（k）=a=〉｜f｜≥bf=c=〉｜f^（k）｜≤d，则F在D内正规．
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| 关 键 词： | 亚纯函数 正规定则 分担值 |
Normal Families and Shared Values of Meromorphic Functions |
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| RUAN Jie-chang. Normal Families and Shared Values of Meromorphic Functions[J]. Journal of Shanxi Teachers University, 2009, 23(1): 24-26 |
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| Authors: | RUAN Jie-chang |
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| Affiliation: | 1.College of Mathematics and Physics;Chongqing University;Chongqing 400030;China;2.Yibin Vocational & Technical College Basic Education Department;Yibing 644003;Sichuan;China |
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| Abstract: | In this paper, we do a further study in normal families of mermorphic functions on sharing values, which is an im- portant subject in complex analysis, we get the following theorem： Let F be a family of meremorphie functions in a area D, all of whose zeros are of multiplicity at least k ＋ 1. a,c are limited and nonzero complex numbers, b,dare two positive numbers, if Vf^（k）=a=〉｜f｜≥bf=c=〉｜f^（k）｜≤d ,thenFis normal. |
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| Keywords: | meromorphic function shared values normal criteria |
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